# How to solve Chi square test questions?

The Chi sqaure test is specifically used to test whether a recorded data set is in agreement with the proposed hypothesis or not. The quantity ‘chi square’ denotes the difference between the observed and expected frequencies. In this article we will be learning how to solve Chi square test questions?

Table of Contents

## How to solve Chi square test questions?

Kindly check out the video attached below to understand- How to solve Chi square test questions?

## When is the value of Chi square zero?

The value of chi square is zero when the value of observed frequency is equal to expected frequency.

## Characterstics of the Chi Square test

1. The test is based on frequencies however in theoretical distribution, it is based on mean and standard deviation.

2. A new chi square distribution is formed for every increase in degree of freedom.

3. This test is useful for testing the hypothesis but not for purpose of estimation.

## Assumptions for validity of Chi Square test

1. All observations are independent. No individual item should be included twice.

2. The calculated values of chi square is compared with given degrees of freedom at 5% or 1% level of significance.

## Applications of Chi Square test

1. To test the goodness of fit

2. To test the independence of attributes.

3. To test the detection of linkage.

4. To test the homogenity of independent estimates of the population variance.

## Chi Square test as an indicator of Goodness of fit

If the observed frequencies are close to the expected frequencies, the chi square value will be small indicating a good fit. However, if the difference is huge, the chi square value will be large and fit is poor.

A good fit leads to acceptance of null hypothesis where as a poor fit leads to rejection of null hypothesis.

Hope the calculation, characterstics, assumptions and applications of chi-square test are clear to you and you have successfully learnt-How to solve Chi square test ?

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Also check out- https://youtu.be/mdJGCD2L93I